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A constitutive theory of fluid-saturated granular materials and its application in gravitational flows

Wang, Yongqi ; Hutter, Kolumban (1999)
A constitutive theory of fluid-saturated granular materials and its application in gravitational flows.
In: Rheologica Acta, 38 (3)
doi: 10.1007/s003970050171
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

A continuum theory of fluid-saturated granular materials is presented. The microstructural effects are accounted for by additional balances of equilibrated forces. A set of constitutive equations for a viscous solid-fluid mixture with microstructure is derived by use of the Müller-Liu thermodynamic approach. This theory is applied for the description of the steady gravitational flow of a solid-fluid mixture down an inclined plate. The resulting boundary value problem is solved numerically and results are presented for various values of parameters and boundary conditions. Solutions of this problem demonstrate many of the characteristics normally assumed in the other treatments of solid-fluid mixtures. Typically, in the vicinity of the bottom, a layer of high shear rate occurs with high dilatancy, whose thickness is nearly several grain diameters. Above this layer a plug-like region develops in which the velocity is almost constant.

Typ des Eintrags: Artikel
Erschienen: 1999
Autor(en): Wang, Yongqi ; Hutter, Kolumban
Art des Eintrags: Bibliographie
Titel: A constitutive theory of fluid-saturated granular materials and its application in gravitational flows
Sprache: Englisch
Publikationsjahr: 1999
Verlag: Springer
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Rheologica Acta
Jahrgang/Volume einer Zeitschrift: 38
(Heft-)Nummer: 3
DOI: 10.1007/s003970050171
URL / URN: http://www.springerlink.com/content/jlg91788xerb02tw/
Kurzbeschreibung (Abstract):

A continuum theory of fluid-saturated granular materials is presented. The microstructural effects are accounted for by additional balances of equilibrated forces. A set of constitutive equations for a viscous solid-fluid mixture with microstructure is derived by use of the Müller-Liu thermodynamic approach. This theory is applied for the description of the steady gravitational flow of a solid-fluid mixture down an inclined plate. The resulting boundary value problem is solved numerically and results are presented for various values of parameters and boundary conditions. Solutions of this problem demonstrate many of the characteristics normally assumed in the other treatments of solid-fluid mixtures. Typically, in the vicinity of the bottom, a layer of high shear rate occurs with high dilatancy, whose thickness is nearly several grain diameters. Above this layer a plug-like region develops in which the velocity is almost constant.

Freie Schlagworte: Solid-fluid mixture; Constitutive equations; Gravitational flow
Zusätzliche Informationen:

DOI: 10.1007/s003970050171

Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy)
Hinterlegungsdatum: 23 Aug 2011 14:49
Letzte Änderung: 03 Jun 2018 21:24
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